Elena Celledoni

2.0k total citations
52 papers, 1.0k citations indexed

About

Elena Celledoni is a scholar working on Numerical Analysis, Statistical and Nonlinear Physics and Computational Mechanics. According to data from OpenAlex, Elena Celledoni has authored 52 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Numerical Analysis, 23 papers in Statistical and Nonlinear Physics and 21 papers in Computational Mechanics. Recurrent topics in Elena Celledoni's work include Numerical methods for differential equations (36 papers), Advanced Numerical Methods in Computational Mathematics (17 papers) and Model Reduction and Neural Networks (13 papers). Elena Celledoni is often cited by papers focused on Numerical methods for differential equations (36 papers), Advanced Numerical Methods in Computational Mathematics (17 papers) and Model Reduction and Neural Networks (13 papers). Elena Celledoni collaborates with scholars based in Norway, Australia and New Zealand. Elena Celledoni's co-authors include Brynjulf Owren, G. Quispel, Robert I. McLachlan, David McLaren, Arieh Iserles, Volker Grimm, Dion O’Neale, David Cohen, Arne Marthinsen and Simone Fiori and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and Mathematics of Computation.

In The Last Decade

Elena Celledoni

48 papers receiving 912 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Elena Celledoni Norway	17	719	412	317	237	147	52	1.0k
Antonella Zanna Norway	13	671 0.9×	316 0.8×	287 0.9×	273 1.2×	118 0.8×	27	947
Hans Munthe–Kaas Norway	15	937 1.3×	445 1.1×	454 1.4×	370 1.6×	177 1.2×	43	1.5k
Brynjulf Owren Norway	22	1.2k 1.6×	706 1.7×	475 1.5×	295 1.2×	293 2.0×	63	1.6k
Stefan Güttel United Kingdom	18	450 0.6×	203 0.5×	259 0.8×	582 2.5×	281 1.9×	53	1.1k
Linzhang Lu China	17	494 0.7×	289 0.7×	115 0.4×	793 3.3×	81 0.6×	98	1.1k
Martin H. Gutknecht Switzerland	20	669 0.9×	432 1.0×	247 0.8×	1.0k 4.4×	182 1.2×	68	1.6k
Marco Vianello Italy	18	374 0.5×	498 1.2×	100 0.3×	364 1.5×	106 0.7×	110	1.2k
Roswitha März Germany	20	1.1k 1.6×	244 0.6×	269 0.8×	762 3.2×	184 1.3×	78	1.5k
Michela Redivo‐Zaglia Italy	17	401 0.6×	198 0.5×	186 0.6×	462 1.9×	79 0.5×	58	1.1k
Changfeng Ma China	24	1.1k 1.5×	550 1.3×	162 0.5×	1.4k 6.0×	149 1.0×	192	2.0k

Countries citing papers authored by Elena Celledoni

Since Specialization

Citations

This map shows the geographic impact of Elena Celledoni's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Elena Celledoni with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Elena Celledoni more than expected).

Fields of papers citing papers by Elena Celledoni

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Elena Celledoni. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Elena Celledoni. The network helps show where Elena Celledoni may publish in the future.

Co-authorship network of co-authors of Elena Celledoni

This figure shows the co-authorship network connecting the top 25 collaborators of Elena Celledoni. A scholar is included among the top collaborators of Elena Celledoni based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Elena Celledoni. Elena Celledoni is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Celledoni, Elena, et al.. (2024). Neural networks for the approximation of Euler’s elastica. Computer Methods in Applied Mechanics and Engineering. 435. 117584–117584.

Arnold, Martin, et al.. (2024). B-stability of numerical integrators on Riemannian manifolds. 11(1). 92–107. 1 indexed citations

Celledoni, Elena, et al.. (2024). Designing stable neural networks using convex analysis and ODEs. Physica D Nonlinear Phenomena. 463. 134159–134159. 4 indexed citations

Celledoni, Elena, et al.. (2023). Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics. 63(4). 1 indexed citations

Celledoni, Elena, et al.. (2023). Dynamical Systems–Based Neural Networks. SIAM Journal on Scientific Computing. 45(6). A3071–A3094. 5 indexed citations

Celledoni, Elena, et al.. (2022). Detecting and determining preserved measures and integrals of birational maps. 9(4). 553–574. 5 indexed citations

Andersson, Helge I., et al.. (2020). An integral model based on slender body theory, with applications to curved rigid fibers. arXiv (Cornell University). 11 indexed citations

Celledoni, Elena, et al.. (2019). Krylov projection methods for linear Hamiltonian systems. Numerical Algorithms. 81(4). 1361–1378.

Celledoni, Elena, et al.. (2018). Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows. SIAM Journal on Scientific Computing. 40(6). A3789–A3806. 8 indexed citations

10.

Celledoni, Elena, et al.. (2016). The averaged Lagrangian method. Journal of Computational and Applied Mathematics. 316. 161–174. 1 indexed citations

11.

Celledoni, Elena, Robert I. McLachlan, David McLaren, Brynjulf Owren, & G. Quispel. (2014). Integrability properties of Kahan's method. Figshare. 20 indexed citations

12.

Celledoni, Elena, Robert I. McLachlan, Brynjulf Owren, & G. Quispel. (2012). Geometric properties of Kahan's method. Journal of Physics A Mathematical and Theoretical. 46(2). 25201–25201. 42 indexed citations

13.

Celledoni, Elena & Trond Kvamsdal. (2009). Parallelization in time for thermo‐viscoplastic problems in extrusion of aluminium. International Journal for Numerical Methods in Engineering. 79(5). 576–598. 12 indexed citations

14.

Celledoni, Elena. (2009). MA8404-Notes on IMEX methods and exponential integrators.

15.

Celledoni, Elena, Robert I. McLachlan, David McLaren, et al.. (2009). Energy-preserving Runge-Kutta methods. ESAIM Mathematical Modelling and Numerical Analysis. 43(4). 645–649. 73 indexed citations

16.

Celledoni, Elena & Simone Fiori. (2004). Neural learning by geometric integration of reduced ‘rigid-body’ equations. Journal of Computational and Applied Mathematics. 172(2). 247–269. 24 indexed citations

17.

Zhou, Xiangmin, Olivier A. Bauchau, Lorenzo Trainelli, et al.. (2003). Special Issue: Advances in Computational Dynamics. Computer Methods in Applied Mechanics and Engineering. 1 indexed citations

18.

Celledoni, Elena, Arieh Iserles, Syvert P. Nørsett, & B. Orel. (2002). Complexity Theory for Lie-Group Solvers. Journal of Complexity. 18(1). 242–286. 5 indexed citations

19.

Celledoni, Elena & Arieh Iserles. (2000). Approximating the exponential from a Lie algebra to a Lie group. Mathematics of Computation. 69(232). 1457–1481. 55 indexed citations

20.

Celledoni, Elena & Igor Moret. (1997). A Krylov projection method for systems of ODEs. Applied Numerical Mathematics. 24(2-3). 365–378. 33 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact